Use the following information to answer questions (25) - (27). According to the
ID: 3226561 • Letter: U
Question
Use the following information to answer questions (25) - (27). According to the website www.costofwedding.com, the mean cost of flowers for a wedding is $698. However, in a recent random sample of 40 weddings in the U.S. it was found that the average cost of the flowers was $734, with a standard deviation of $102. On the basis of this, a 95% confidence interval for the mean cost of flowers a wedding is $701 to $767. For this description, which of the following does not describe a condition for a valid confidence interval? a. The description states that the sample was randomly selected, so we can assume that the condition which states that the data must represent a random sample is satisfied. b. The sample observations are independent because knowledge about the cost of flowers for any one wedding tells us nothing about the cost of flowers for any other wedding in the sample. c. The sample size of 40 is large enough that knowledge about the population distribution is not necessary and the condition that the population be normally distributed or sample size be larger than 25 is satisfied. d. All of the above describe conditions for a valid confidence interval. Does the confidence interval provide evidence that the mean cost of flowers for a wedding has increased? a. Yes b. No Choose the statement that is the best interpretation of the confidence interval. a. That probability that the flowers at a wedding will cost more than $698 is greater than 5%. b. In about 95% of all samples of size 40, the resulting confidence interval will contain the mean cost of flowers at weddings. c. We are extremely confident that the mean cost of flowers at a wedding is between $701 and $767 d. That probability that flowers at a wedding will cost less than $767 is nearly 100%Explanation / Answer
For the given scenario the correct options are as follows :
25) b
26) Yes
27) Optiion c